Answered

Get clear, concise, and accurate answers to your questions on IDNLearn.com. Our experts provide timely and precise responses to help you understand and solve any issue you face.

A cube with side length
‍\[w\]
has a volume of
‍\[512\]
cubic centimeters. The following equation shows the volume of the cube.
‍\[w^3 = 512\]
What is the side length of the cube in centimeters?

Sagot :

KitdaAneekidn

Answer:

8 centimeters

Step-by-step explanation:

The volume of a cube is any side length cubed. To find the side length given the volume, you have to do the opposite operation which is the cube root and evaluate it to get the side length.

Solving:

Using w from the equation for side length:

[tex]\begin{document}\begin{enumerate} \[ w^3 = 512 \] \item Take the cube root of both sides of the equation: \[ w = \sqrt[3]{512} \] \item Calculate the cube root of \( 512 \): \[ \sqrt[3]{512} = \boxed{8} \][/tex]

Therefore, the side length of the cube is 8 centimeters.

We are delighted to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to helping you again soon.